Search a number
-
+
10133040102200 = 2352439013130729
BaseRepresentation
bin1001001101110100100001…
…0000010111101100111000
31022212201010222122200122222
42103131020100113230320
52312004431231232300
633315015424103212
72064042115506341
oct223351020275470
938781128580588
1010133040102200
113257441a73a04
121177a26764b08
13586706b157a2
1427062827d0c8
151288b4b1c785
hex93748417b38

10133040102200 has 96 divisors (see below), whose sum is σ = 24110068501200. Its totient is φ = 3958485672960.

The previous prime is 10133040102187. The next prime is 10133040102217. The reversal of 10133040102200 is 220104033101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77446436 + ... + 77577164.

Almost surely, 210133040102200 is an apocalyptic number.

10133040102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133040102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12055034250600).

10133040102200 is an abundant number, since it is smaller than the sum of its proper divisors (13977028399000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10133040102200 is a wasteful number, since it uses less digits than its factorization.

10133040102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139801 (or 139792 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10133040102200 its reverse (220104033101), we get a palindrome (10353144135301).

The spelling of 10133040102200 in words is "ten trillion, one hundred thirty-three billion, forty million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 9013 18026 36052 45065 72104 90130 130729 180260 225325 261458 360520 387559 450650 522916 653645 775118 901300 1045832 1307290 1550236 1802600 1937795 2614580 3100472 3268225 3875590 5229160 5621347 6536450 7751180 9688975 11242694 13072900 15502360 19377950 22485388 26145800 28106735 38755900 44970776 56213470 77511800 112426940 140533675 224853880 281067350 562134700 1124269400 1178260477 2356520954 4713041908 5891302385 9426083816 11782604770 23565209540 29456511925 47130419080 50665200511 58913023850 101330401022 117826047700 202660802044 235652095400 253326002555 405321604088 506652005110 1013304010220 1266630012775 2026608020440 2533260025550 5066520051100 10133040102200